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Finding the Third Proportional to 60,000 and 123,840

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Solution

The third proportional to 60,000 and 123,840 is: 255,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,000 : 123,840 = 123,840 : x
  2. Step 2: Convert to fraction form
    60,000/123,840 = 123,840/x
  3. Step 3: Cross multiply
    60,000x = 123,840 × 123,840
  4. Step 4: Simplify right side
    60,000x = 15,336,345,600
  5. Step 5: Solve for x
    x = 15,336,345,600/60,000
  6. Step 6: Final answer
    x = 255,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.